Theory:

Anything that is not straight is referred to as a curve.
There are different types of curves. Some of which are:
  • Simple curve
  • Non-simple curve
  • Open curve
  • Closed curve
 
A curve that does not cross itself is called a simple curve.
 
simple_curve.PNG
 
 
A curve that crosses its own path is called a non-simple curve.
 
not_simple.PNG
 
 
An open curve is a curve whose endpoints do not meet at any point. It has two endpoints. 
 
open_curve.PNG
 
 
A closed curve is a curve, which has no endpoints and enclosed an area.
 
Closed_curve.PNG
 
  
A closed curve contains \(3\) parts. They are:
  • Interior of the curve
  • Exterior of the curve
  • Boundary of the curve
curves.PNG
 
1. Interior of the curve:
 
The inside / inner region of the curve is referred to as the interior of the curve. In the above figure, point \(A\) lies on the interior of the curve.
 
2. Exterior of the curve:
 
The outside / outer region of the curve referred to as the exterior of the curve. In the above figure, point \(B\) lies on the exterior of the curve.
 
3Boundary of the curve:
 
The curve, which divides the interior and exterior part, is called a boundary of the curve. In the above figure, point \(C\) lies on the boundary of the curve.
 
Important!
The interior and boundary of the curve together are called "the region" of the curves.